Given numbers are 379,756,845,461,728

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 379,756,845,461,728 is 223227983160.

Find LCM of 379,756,845,461,728 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 7 x 13 x 379 x 27 x 65 x 461 x 2 = 223227983160

Therefore, the lowest common multiple of 379,756,845,461,728 is 223227983160.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

379 x 756 x 845 x 461 x 728 = 81254985870240

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

379 : 1, 379

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

845 : 1, 5, 13, 65, 169, 845

461 : 1, 461

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,756,845,461,728, is 1.

Now, the common factors can be found like this.

379:379

756:2x 2x 3x 3x 3x 7

845:5x 13x 13

461:461

728:2x 2x 2x 7x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 7x 13 = 364

Therefore, the value for common factors is 364.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 81254985870240/(1x364)

LCM = 81254985870240/364

LCM = 223227983160

Thus, we can understand that the LCM of 379,756,845,461,728 is 223227983160.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 340, 425, 909, 789, 539
• LCM of 953, 964, 760, 633, 906
• LCM of 911, 667, 275, 116, 938
• LCM of 240, 542, 578, 574, 322
• LCM of 200, 296, 530, 906, 779

1. What is the LCM of 379, 756, 845, 461, 728?

Answer: LCM of 379, 756, 845, 461, 728 is 223227983160.

2. How to calculate the LCM of 379, 756, 845, 461, 728?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 379, 756, 845, 461, 728.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.